33×34+34×35+······37×38如何计算
问题描述:
33×34+34×35+······37×38如何计算
答
33*34+34*35+35*36+36*37+37*38
=1122+(34*35+35*36) +(36*37+37*38)
=1122+2*35^2+2*37^2
=1122+2450+2738
=(1122+2738)+2450
=3860+2450
=6310能否再简单一些,这是一道简便计算33*34+34*35+35*36+36*37+37*38=(34-1)*34+(34+1)*34+(36-1)*36+(36+1)*36+37*38=34*34*2+36*36*2+37*38=2(34^2+36^2)+37*38=6310